The number of positive integers $x$ satisfying the equation $\frac{1}{x}+\frac{1}{x+1}+\frac{1}{x+2}=\frac{13}{2}$ is.

  • [KVPY 2021]
  • A

    $0$

  • B

    $1$

  • C

    $2$

  • D

    more than $2$

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